Home Physics Alternating Current Karnataka - CET Previous Year Question A series combination of resistor , capacito…
Physics Alternating Current Karnataka - CET Previous Year Question MCQ (Single Correct)

A series combination of resistor , capacitor is connected to an A.C. source of angular frequency ' '. Keeping the voltage same, if the frequency is changed to , the current becomes half of the original current. Then the ratio of the capacitive reactance and resistance at the former frequency is

A
B

C
D

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The correct answer is:
A

In the first case,

Capacitive reactance,

Impedance of the circuit,

Current in the circuit

In the second case,

Capacitive reactance,

Impedance of the circuit

Current in the circuit

Divide (ii) by (i), we get

Squaring both sides, we get

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